120417664346460 has 144 divisors (see below), whose sum is σ = 416503450935936. Its totient is φ = 27897667024896.

The previous prime is 120417664346459. The next prime is 120417664346467. The reversal of 120417664346460 is 64643466714021.

120417664346460 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 176 + 6 + 4 + 3 + 4 + 6 + 460 = 666.

It is a super-3 number, since 3×120417664346460³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120417664346397 and 120417664346406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120417664346467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513505524 + ... + 1513585083.

It is an arithmetic number, because the mean of its divisors is an integer number (2892385075944).

Almost surely, 2^{120417664346460} is an apocalyptic number.

120417664346460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120417664346460 is an abundant number, since it is smaller than the sum of its proper divisors (296085786589476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120417664346460 is a wasteful number, since it uses less digits than its factorization.

120417664346460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027090652 (or 3027090647 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 120417664346460 in words is "one hundred twenty trillion, four hundred seventeen billion, six hundred sixty-four million, three hundred forty-six thousand, four hundred sixty".